P.S. Of course, the fact that Kipling wrote it doesn't make it true. The West has done more harm to India, for instance, than good. The UK dismantled, for instance, US-owned railroad companies that existed in India specifically because they were training locals in industrial skills, and later had policies that reduced the availability of industrial skills to Indians - the reverse of what Kipling imagined they were doing.
It's useful to read Herbert Spencer's exposition of how the colonial system was harming both the colonies and the metropoly in the long term.